Yes. It has happened many times across all divisions.
Some teams, even today, rarely throw the football (Navy, Army), and some quarterbacks play only as back-ups or reserves (as opposed to starting quarterbacks or those with 400+ pass attempts).
Technically speaking, a back-up quarterback with just one pass attempts on the season that was not intercepted would be included on any list of quarterbacks without an interception unless that list specifies a minimum number of pass attempts.
Tom Brady's pass attempts without an interception streak does not continue into the next season as the interception in the game versus the New York Jets ended the streak officially.
No NFL starting QB has played the entire season without throwing an interception. The closest was Damon Huard of the 2006 Kansas City Chiefs who played in 10 games, starting 8 and threw 1 interception in 244 pass attempts. The most passes attempted by a QB in an NFL season without an interception is 127 by Paul Justin of the 1996 Indianapolis Colts. He played in 8 games, starting 2. Bernie Kosar of the 1990 and 1991 Cleveland Browns holds the NFL record with 308 consecutive passes without an interception. The streak started in Game 14 of the 1990 season and ended in Game 10 of the 1991 season.
Jack Mildren was the first college quarterback to rush more than 1,000 yards in a season. During his freshman season in 1971, Mildren rushed 1,140 yards.
2010 Tom Brady had a 9 to 1 Td/Int ratio. 36 touchdowns to 4 interceptions.
He was the Quarterback for the Huskies. 2010 was his last season.
During the 2011 season, Ben Roethlisberger threw an interception in 10 different games.
Tom Brady of the New England Patriots- 2010 NFL Season He threw 36 touchdowns and 4 interceptions over 16 games for a record 9:1 touchdown/interception ratio.
A couple have started all 16 games in the regular season and done it ... 1) Steve DeBerg of the 1990 Kansas City Chiefs threw 4 INTs. He averaged an interception every 111 pass attempts and his 0.9 interception percentage is the lowest of any NFL QB that has started every game in a 16 game schedule. 2) Jason Campbell of the 2008 Washington Redskins threw 6 INTs. He averaged an interception every 84.3 pass attempts and had an interception percentage of 1.2.
The Quarterback for the Tennessee Titans 2009-2010 season is Kerry Collins.
Denard Robinson QB Michigan 2010
This event has never occured.
The Colts backup quarterback for the 2007 season is Jim Sorgi.
For the 2010 season Vince Young is the Titans starting quarterback.
Colt McCoy of Texas with 44 wins and 7 losses from 2006 through the current 2009 season.
Through the 2007 season, Favre has thrown 442 TDs and 288 INTs for a touchdown to interception ratio of 1.53 (to 1).
For the 2008 season, that is Jim Sorgi who has been the Colts second team quarterback since the 2004 season.
Tony Romo was the starting quarterback for the Cowboys in the 2008 season.
The quarterback for the Dallas Cowboys in the 1990 season was Troy Aikman.